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Finding the Third Proportional to 160,238 and 370,940

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Solution

The third proportional to 160,238 and 370,940 is: 858,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,238 : 370,940 = 370,940 : x
  2. Step 2: Convert to fraction form
    160,238/370,940 = 370,940/x
  3. Step 3: Cross multiply
    160,238x = 370,940 × 370,940
  4. Step 4: Simplify right side
    160,238x = 137,596,483,600
  5. Step 5: Solve for x
    x = 137,596,483,600/160,238
  6. Step 6: Final answer
    x = 858,700.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.